Question

Learning Goal: To learn to apply the concept of current density and Kirchhoff's junction rule 11 Review Constants The information about the magnitudes of the current density and the diameters for wires 1 2 3 and 4 is given in the table. Some of the values are unknown Wire Current density (A/mm) Diameter ( mm) Total Current (A) 1 1.6 20 722 Consider a junction of five wires, as shown in the figure The arrows indicate the direction of current flow (Figure 1) 292 30 20 2 3 3.0 1.1 792 DB 777 40 Figure Part A 1 of 1 Find the current is in wire 5 Express your answer in amperes. Use two significant figures. Assume that the current out of the junction is positive and that the current into the junction is negative. Wire 2 Wire 3 View Available Hints) TO AED Wire 4 ? Is A Wire 1 Wire 5 Submit

Answer 1

wire current densitm (alum) diameter(mm) current 1 1.6 2 current density x arrea = 116 X 302 5.024 A 2 2 = 0.283 11/22 3 2 حي 3 1.1 3x (°)=2 52,85 4 0.8 08 4 & T2-5 in 1.262 & diameter = 2.524 mm?. According to Kirchhoff Junction rule total algebric sum of current meeting at junction is Zero. ie + I I2 + Iz & I - Is so 2 4 ch Is = 7 - Iz 473 474 5.024 – 2+2.85 +4 9.874 A [let wine at 5 is into the junction